Answer:
[tex]x=4[/tex]Step-by-step explanation:
Solving for x,
[tex]\begin{gathered} 49^{2x-1}=7^{3x+2} \\ \rightarrow(7^2)^{2x-1}=7^{3x+2} \\ \rightarrow7^{4x-2}=7^{3x+2} \\ \rightarrow4x-2=3x+2 \\ \rightarrow4x-3x=2+2 \\ \rightarrow x=4 \end{gathered}[/tex]This way, we can conlcude that:
[tex]x=4[/tex]